In the following number pairs, the second number is obtained by applying some mathematical operations on the first number. Choose the set in which the numbers are related in the same way as the numbers of the following sets.

(Note: Operations should be performed on whole numbers, without breaking the numbers into their constituent digits.)

97-82
84-69

1. A

   101-96

2. B

   127-107

3. C

   112-97

4. D

   115-95

Appeared in: DSSSB 12 August 2024

Explanation

• The core concept is identifying a consistent mathematical relationship between pairs of numbers.
• In the given examples (97-82 and 84-69), the difference between the first and second number is consistently 15 (97 - 82 = 15; 84 - 69 = 15).
• The correct option, 112-97, is the only pair that shares this exact same difference (112 - 97 = 15).

Why Other Options Were Wrong

• Option A: The difference between 101 and 96 is 5, not 15.
• Option B: The difference between 127 and 107 is 20, not 15.
• Option D: The difference between 115 and 95 is 20, not 15.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning: Number Analogy as background academic context rather than a clinical decision trigger.
• While not a clinical question, the underlying skill of pattern recognition is crucial in nursing.
• Nurses use this skill to detect subtle changes or trends in a patient's vital signs, lab results, or symptoms, which can indicate improvement or deterioration.
• Accurate calculation, another skill tested here, is fundamental for safe medication administration, including dosage calculations and IV drip rate adjustments.

How to Approach the Question

• First, carefully examine the given example pairs (97-82 and 84-69) to identify the mathematical relationship.
• Perform basic operations (subtraction, addition, multiplication, division) to find the rule. In this case, calculate the difference: 97 - 82 = 15 and 84 - 69 = 15.
• Formulate a clear rule based on the consistent pattern observed: The second number is 15 less than the first number.
• Systematically apply this rule to each of the answer options.
• Calculate the difference for each option: 101-96=5, 127-107=20, 112-97=15, 115-95=20.
• Select the option that perfectly matches the rule you derived. Here, only 112-97 has a difference of 15.

Concept Tested & Keywords

• Concept Tested: Logical Reasoning: Number Analogy
• Stem keywords: number pairs, mathematical operations, related
• Lead-in keywords: Choose the set
• Negative lead-in flag: false

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